Pith Number

pith:LWK7QC3S

pith:2012:LWK7QC3SFNDYI54QL33JNK7C25

not attested not anchored not stored refs pending

Geometric Tate-Swan cohomology of equivariant spectra

Jack Morava

arxiv:1210.4086 v2 · 2012-10-15 · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{LWK7QC3SFNDYI54QL33JNK7C25}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T03:40:15.784331Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5d95f80b722b478477905ef696abe2d74aa362b43f88cbde362f8cd51fdf3eee

Aliases

arxiv: 1210.4086 · arxiv_version: 1210.4086v2 · doi: 10.48550/arxiv.1210.4086 · pith_short_12: LWK7QC3SFNDY · pith_short_16: LWK7QC3SFNDYI54Q · pith_short_8: LWK7QC3S

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/LWK7QC3SFNDYI54QL33JNK7C25 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 5d95f80b722b478477905ef696abe2d74aa362b43f88cbde362f8cd51fdf3eee

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "80b15eecee98d10fa724d0f95bd02e4e2d717a4ab4f225bd24b923dd12728f1e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-10-15T16:00:24Z",
    "title_canon_sha256": "a3990f16005268d6c8df3f2b5f0445269775bd8d230b7a543e6e4cf512e97d62"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.4086",
    "kind": "arxiv",
    "version": 2
  }
}